Question

An elevator has a weight limit of less than 900 pounds. A student weighing 95 pounds get on the elevator. Write and Solve an inequality to represent the remaining weight, x, that can be added. Put your solved answer in the blank. It will be written as an inequality

Answer 1

Given:

An elevator has a weight limit of less than 900 pounds.

A student weighing 95 pounds get on the elevator.

To find:

The inequality to represent the remaining weight, x, that can be added.

Solution:

Let x be the remaining weight that can be added.

A student weighing 95 pounds get on the elevator.

So, total weight on the elevator =
`x+95` pounds.

An elevator has a weight limit of less than 900 pounds. It means, total weight on elevator must be less than 900 pounds.

`x+95<900`

Subtracting 95 from both sides.

`x<900-95`

`x<805`

It means, the remaining weight that can be added is less than 805 pounds.

Therefore, the required inequality is
`x<805`.